Piece of MathJax no longer working - advice?

[J.R.St...@physics.org]

Sometime in the last two or three years, probably. a piece of MathJax in my page
                       http://www.merlyn.demon.co.uk/essai-3c.htm#prod
has stopped rendering as it did and should, both in current Firefox & Chrome, in WinXP sp3.  That page shows, mostly, numbered pages translated from a PDF in French, and the problem is in the lower half of the page numbered 282.  One must press an obvious button just below the #prod anchor to start the typesetting, and one should wait until the whole is typeset before looking at page 282.

The code is (I cammot immediately recall what the ## lines do; probably spacing in the page's internal preprocessor)

##1~1,

$$ \begin{aligned}
 \tag{1°} A+B+C(1-\mu'\varpi'+\mu''\varpi'')
 &= \frac{A+C+B[1-(\mu\varpi+\mu''\varpi'')m]}{m^3} \\
 &= \frac{B+C+A[1+(\mu\varpi+\mu'\varpi')n]}{n^3} ;
 \end{aligned} $$

##2~1;

$$ \tag{2°}
   C\varpi = - \frac{B\varpi'}{m^2} = - \frac{A\varpi''}{n^2}, ~~
 \text{ou bien} ~~ \alpha = 0 ~~ et ~~ \lambda = 0 ; $$

##3~1.

The first "paragraph", with "aligned", shows as unrendered MathJax, whereas the second one, without "aligned" renders.

The original is at
<http://www.ltas-vis.ulg.ac.be/cmsms/uploads/File/Lagrange_essai_3corps.pdf> (4.79MB)     

I dont think I've changed any of the MathJax since when it was working - what has happened, and what do you advise?

-- 
  (c) John Stockton, near London, UK.  Using Google, no spell-check.
 Mail: J.R.""""""""@physics.org or (better) via Home Page at
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[Murray]

Hi John

This is the only equation on your page that has "aligned" and "tag" together.

Trying it out in the sandbox, it also failed.

Without the tag, it was fine:

\begin{aligned} 

  A+B+C(1-\mu'\varpi'+\mu''\varpi'')

 &= \frac{A+C+B[1-(\mu\varpi+\mu''\varpi'')m]}{m^3} \\

 &= \frac{B+C+A[1+(\mu\varpi+\mu'\varpi')n]}{n^3} 

\end{aligned} 

With the tag, it failed:

\begin{aligned} 

 \tag{1} A+B+C(1-\mu'\varpi'+\mu''\varpi'')

 &= \frac{A+C+B[1-(\mu\varpi+\mu''\varpi'')m]}{m^3} \\

 &= \frac{B+C+A[1+(\mu\varpi+\mu'\varpi')n]}{n^3} 

\end{aligned} 

Changing from "aligned" to "align" and "\align" fixed it:

\begin{align} 

 \tag{1} A+B+C(1-\mu'\varpi'+\mu''\varpi'')

 &= \frac{A+C+B[1-(\mu\varpi+\mu''\varpi'')m]}{m^3} \\

 &= \frac{B+C+A[1+(\mu\varpi+\mu'\varpi')n]}{n^3} 

\end{align} 

Regards

Murray

[J.R.St...@physics.org]

On Monday, February 23, 2015 at 8:14:46 AM UTC, Murray wrote:

This is the only equation on your page that has "aligned" and "tag" together.

...

Changing from "aligned" to "align" and "\align" fixed it:

Agreed.  On contemplation of the original French PDF, I see that it really should have been "align" in the first place, for the optimum layout match.  Thanks.

The problem can also be seen in the "aligned" entry at
<http://www.onemathematicalcat.org/MathJaxDocumentation/TeXSyntax.htm#environments>, which comprehensively exonerates my page.

OT : Pedagogical : Comparison of the original French paper of 1772, AFAICS Lagrange's only published work relating to what are now termed the Lagrange Points, with the widely-varying descriptions of his work on the Web, shows that the vast majority of those descriptions are very wrong.  Also, Lagrange could not have discovered L1 & L2, as Gauss did that earlier (and made L3 fairly obvious); and in fact did not discover any points at all, as he omitted the final step of considering one mass to be negligible, and did not believe that the situation would occur in nature. But his credit is well-deserved for providing an explanation over a century before it was needed.